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VOLUME The volume of a 3D shape is the amount of space within that solid.

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Presentation on theme: "VOLUME The volume of a 3D shape is the amount of space within that solid."— Presentation transcript:

1 VOLUME The volume of a 3D shape is the amount of space within that solid.

2 Count the unit3

3 1 cube = 1 unit3

4 How many unit3 are there? 15 unit3

5 How many unit3 are there? 12 unit3

6 How many unit3 are there? 13 unit3

7 How many unit3 are there? 10 unit3

8 Volume of Cube Shape Cubes counted Length, l Breadth, b Height, h
Volume of shape =

9 Look at this cube carefully

10 1st layer 16 unit3 1st + 2nd layer 1 6 unit3 + 1 6 unit3 3 2 unit3

11 Counting unit3 is just piece of cake..
1st + 2nd + 3rd layer 3 2 unit3 + 1 6 unit3 4 8 unit3

12 1st + 2nd + 3rd + 4th layer 4 8 unit3 unit3 6 4 unit3

13 4 unit 4 unit 4 unit Total cubes: 64 unit3

14 Volume = l × b × h = 4 unit × 4 unit × 4 unit = 16 unit2 × 4 unit

15 The table you formed Shape Cube Cubes counted 64 unit3 Length, l
Breadth, b Height, h Volume of shape, l × b × h

16 Look at this cuboid closely

17 1st layer 9 unit3 1st + 2nd layer 9 unit3 unit3 1 8 unit3

18 1st + 2nd + 3rd layer 1 8 unit3 unit3 2 7 unit3

19 1st + 2nd + 3rd + 4th layer 2 7 unit3 unit3 3 6 unit3

20 4 unit 3 unit 3 unit Total cubes: 36 unit3

21 Volume = l × b × h = 3 unit × 3 unit × 4 unit = 9 unit2 × 4 unit

22 The table you formed Shape Cuboid Cubes counted 36 unit3 Length, l
Breadth, b Height, h 4 unit Volume of shape, l × b × h

23 Volume = length × breadth × height
Therefore, Volume = length × breadth × height

24 Calculate the volume of the cube below
Question 1 Calculate the volume of the cube below 5cm 125cm3

25 Calculate the volume of the cuboid below
Question 2 Calculate the volume of the cuboid below 5m 4m 80m3

26 Calculate the volume of the cube below
Question 3 Calculate the volume of the cube below 10m 1000m3

27 Calculate the volume of the cuboid below
Question 5 Calculate the volume of the cuboid below 10cm 3cm 90cm3

28 Volume = length × breadth × height
Conclusion(song) How do you calculate volume of cube and cuboid? Volume = length × breadth × height

29 Extension Question How many small boxes fit into the big one? 3000  ……..80 boxes

30 1 litre = 1000ml also 1 litre = 1000cm3 Did you know?
Therefore  1ml = 1cm3

31


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